Lean verification registry · Authored proofs · The Logos Architecture
Source recorded — formalization still required
Axiom-free: not established · 0 checked theorem statements.
Lean establishes the listed formal statements and dependencies. The exact authored source, Ground, known premise meanings, application validation and empirical evidence remain separately typed. No unencoded section is certified by a neighboring theorem.
Original source author: Maclain Hunter. Machine formalization: Replit Agent. No original wording was rewritten.
Source registered: 2026-10-03T01:29:36.035Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:39:09.367Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 0b550e98668e98165c13627500338d28ef30795741f4010c6b0248d7b1f9db1b
Lean source · Verification JSON · Exact archived source JSON · Compiler report · Current authored source page · Signed release and verification instructions
Lean (version 4.7.0, commit v4.7.0, Release) Not executed: no complete licensed formal sequent recovered.
No complete formal sequent has yet been recovered. This source is recorded, not marked Lean-verified.
1. Any claim about “God as ontological ground” must be coherent to be meaningful, since incoherent claims fail to denote any determinate referent.
2. Any claim about “Logic” must be coherent in the same way, since logic is precisely the condition of identity, non-contradiction, and stable inference.
3. If Logic and Ontological Ground (God) are genuinely distinct in nature, then their relation must itself be coherently describable without contradiction.
4. If their relation cannot be coherently described, then the distinction collapses into incoherence and cannot function as a meaningful metaphysical claim.
5. Therefore, either Logic and Ontological Ground are coherently related as distinct but compatible structures, or they are identical at the level of necessary conditions for intelligibility.
6. Any incoherence between Logic and God would invalidate not only theology but also any reasoning about theology, since reasoning depends on Logic itself.
7. Therefore, a framework in which God contradicts Logic would undermine its own ability to assert or deny anything, making it self-negating at the level of intelligibility.
8. Any coherent system must preserve the unity of its own conditions of intelligibility across all domains it attempts to describe, including metaphysics.
9. Therefore, if God is posited as the ultimate ground of being, and Logic is the necessary structure of intelligibility, coherence requires either their identity or a perfect non-contradictory alignment of roles.
10. Any enduring separation between Logic and God that introduces structural contradiction would collapse into incoherence and therefore cannot be a viable model of reality under universal coherence constraints.
Conclusion: Under universal coherence as governing constraint, Ontological Ground (God) and Logic cannot be in contradiction without collapsing intelligibility itself; therefore they must be either identical at the level of necessary structure or perfectly aligned as expressions of the same invariant grounding condition.
Conclusion: {P, Q, R, S}: Logical proof is data (empirically observable/observed) supporting the existence of the Logos/Logic, and to assume otherwise leads to logical contradiction affirming that proof is data and that logical proof can serve to help empirically confirm the Logos (Universal Reason / Ground of intelligibility).